已知：RT三角形ABC中,∠C=90°,AC=4,cotB=根号3,MN=2,QM垂直于AB,PN平行于QM,设AM=x,MNPO的面积为y1) 当X=5/6时,球PB的长2）求y关于x 的函数解析式,并写出X的取值范围.3）三角形PCQ与三角形QMA能相似吗?若能
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已知：RT三角形ABC中,∠C=90°,AC=4,cotB=根号3,MN=2,QM垂直于AB,PN平行于QM,设AM=x,MNPO的面积为y1) 当X=5/6时,球PB的长2）求y关于x 的函数解析式,并写出X的取值范围.3）三角形PCQ与三角形QMA能相似吗?若能
已知：RT三角形ABC中,∠C=90°,AC=4,cotB=根号3,MN=2,QM垂直于AB,PN平行于QM,设AM=x,MNPO的面积为y
1) 当X=5/6时,球PB的长
2）求y关于x 的函数解析式,并写出X的取值范围.
3）三角形PCQ与三角形QMA能相似吗?若能,请写出X的值,若不能,请说明理由
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已知：RT三角形ABC中,∠C=90°,AC=4,cotB=根号3,MN=2,QM垂直于AB,PN平行于QM,设AM=x,MNPO的面积为y1) 当X=5/6时,球PB的长2）求y关于x 的函数解析式,并写出X的取值范围.3）三角形PCQ与三角形QMA能相似吗?若能
第一问,cotB=根3,所以B=30°,所以AB=AC/sin30°=8,所以BN=AB-AN=31/6,所以PB=BN/cos30,=31根3/9
第二问,QM=tan60X,PN=（8-X-2）tan30,所以带入梯形面积公式,y=2根3/3X+2根3,0≤X≤6
第三问,假设其相似,则Q一定在AC边上,所以∠A=∠CPQ=60°,所以AQ=2X,QC=4-2X,过Q作QE垂直PN,则MN=QE=2,且,∠PQE=30°,所以PQ=4/根3,所以由三角形相似,PQ/AQ=QC/QM,所以带入数据我自己随便算了下,两个X都是负值,应该不存在这样的X吧,具体应该是这样写,答案你在自己算算吧,我不确定~打字好麻烦,打了好长时间呢~
cotB=根3，所以B=30°，所以AB=AC/sin30°=8，所以BN=AB-AN=31/6，所以PB=BN/cos30,=31根3/9
QM=tan60X，PN=（8-X-2）tan30，所以带入梯形面积公式，y=2根3/3X+2根3，0≤X≤6
假设其相似，则Q一定在AC边上，所以∠A=∠CPQ=60°，所以AQ=2X，QC=4-2X，过Q作QE垂直PN，则MN=QE=2，...
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cotB=根3，所以B=30°，所以AB=AC/sin30°=8，所以BN=AB-AN=31/6，所以PB=BN/cos30,=31根3/9
QM=tan60X，PN=（8-X-2）tan30，所以带入梯形面积公式，y=2根3/3X+2根3，0≤X≤6
假设其相似，则Q一定在AC边上，所以∠A=∠CPQ=60°，所以AQ=2X，QC=4-2X，过Q作QE垂直PN，则MN=QE=2，且，∠PQE=30°，所以PQ=4/根3，所以由三角形相似，PQ/AQ=QC/QM
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